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Finding the Fourth Proportional to 114.46, 170.86 and 106.42

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Solution

The fourth proportional to 114.46, 170.86 and 106.42 is: 158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.46 : 170.86 = 106.42 : x
  2. Step 2: Convert to fraction form
    114.46/170.86 = 106.42/x
  3. Step 3: Cross multiply
    114.46x = 170.86 × 106.42
  4. Step 4: Simplify right side
    114.46x = 18,182.39
  5. Step 5: Solve for x
    x = 18,182.39/114.46
  6. Step 6: Final answer
    x = 158.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.